7730380800 has 450 divisors, whose sum is σ = 28760709978. Its totient is φ = 2052587520.

The previous prime is 7730380729. The next prime is 7730380841. The reversal of 7730380800 is 80830377.

It can be written as a sum of positive squares in 3 ways, for example, as 65028096 + 7665352704 = 8064^2 + 87552^2 .

It is a tau number, because it is divible by the number of its divisors (450).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 33177484 + ... + 33177716.

Almost surely, 2^7730380800 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7730380800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14380354989).

7730380800 is an abundant number, since it is smaller than the sum of its proper divisors (21030329178).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

7730380800 is an equidigital number, since it uses as much as digits as its factorization.

7730380800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 7730380800 is about 87922.5841294488. The cubic root of 7730380800 is about 1977.2744869080.

The spelling of 7730380800 in words is "seven billion, seven hundred thirty million, three hundred eighty thousand, eight hundred".